Chris Collins from Eastbourne and his sister Liz Chambers from Worthing initially turned down a 12,000 pounds bid for a copy of the album, 'Please Please Me', reported BBC online.
They had hoped to get 15,000 pounds for the LP, which was given to their late father during a drinking session.
But the siblings have now accepted 12,000 pounds from private buyers. The album was signed by John Lennon, Paul McCartney, George Harrison and Ringo Starr after they used it as a drinks coaster during a card game in 1963.
It was even withdrawn from sale after failing to reach its 15,000 pounds reserve price, but auctioneer Paul Campbell said, "The record has now sold for a hammer price of 12,000 pounds, to a private buyer."
He said the vendors had decided to cut their losses and accept 12,000 pounds following renewed interest from a Dutch Beatles enthusiast living in Worthing and his father.